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Finding the Fourth Proportional to 97,402.97, 145,986.91 and 47,408.15

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Solution

The fourth proportional to 97,402.97, 145,986.91 and 47,408.15 is: 71,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,402.97 : 145,986.91 = 47,408.15 : x
  2. Step 2: Convert to fraction form
    97,402.97/145,986.91 = 47,408.15/x
  3. Step 3: Cross multiply
    97,402.97x = 145,986.91 × 47,408.15
  4. Step 4: Simplify right side
    97,402.97x = 6,920,969,573.76
  5. Step 5: Solve for x
    x = 6,920,969,573.76/97,402.97
  6. Step 6: Final answer
    x = 71,055.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.